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Finding the Third Proportional to 274,824 and 437,172

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Solution

The third proportional to 274,824 and 437,172 is: 695,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,824 : 437,172 = 437,172 : x
  2. Step 2: Convert to fraction form
    274,824/437,172 = 437,172/x
  3. Step 3: Cross multiply
    274,824x = 437,172 × 437,172
  4. Step 4: Simplify right side
    274,824x = 191,119,357,584
  5. Step 5: Solve for x
    x = 191,119,357,584/274,824
  6. Step 6: Final answer
    x = 695,424.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.